>From the post: Initially the idea was to implement it in mpmath, but due to speed > concerns, the interval arithmetic module was completely implemented in > numpy. The interval arithmetic is not completely accurate as it uses > floating points, but it was sufficient for plotting.
Perhaps since the y-bounds are [k:k+17] where k is 524 digit number, double precision arithmetic simply won't cut it. Note that I haven't looked at the actually plotting routines to check, I'm just going off the above quote. On Tuesday, May 12, 2015 at 1:40:24 PM UTC-6, Aaron Meurer wrote: > > Ideally implitic_plot should be able to do it. The plot comes from a > paper whose algorithm was implemented in a GSoC project > > https://github.com/sympy/sympy/wiki/GSoC-2012-Report-Bharath-M-R:-Implicit-plotting. > > > > Aaron Meurer > > On Tue, May 12, 2015 at 12:45 PM, Sumith 1896 <sumit...@gmail.com > <javascript:>> wrote: > > Is there a need for an issue to be opened? > > > > > > On Tue, May 12, 2015 at 10:59 PM Peter Brady <peter...@gmail.com > <javascript:>> wrote: > >> > >> Just tried: > >> > >> In [1]: from sympy import * > >> > >> In [3]: x,y = symbols("x y") > >> > >> In [11]: rhs = > >> floor(Mod(floor(y/17)*2**(-17*floor(x)-Mod(floor(y),17)),2)) > >> > >> In [14]: s = "960 939 379 918 958 884 971 672 962 127 852 754 715 004 > 339 > >> 660 129 306 651 505 519 271 702 802 395 266 424 689 642 842 174 350 718 > 121 > >> 267 153 782 770 623 355 993 237 280 874 144 307 891 325 963 941 337 723 > 487 > >> 857 735 749 823 926 629 715 517 173 716 995 165 232 890 538 221 612 403 > 238 > >> 855 866 184 013 235 585 136 048 828 693 337 902 491 454 229 288 667 081 > 096 > >> 184 496 091 705 183 454 067 827 731 551 705 405 381 627 380 967 602 565 > 625 > >> 016 981 482 083 418 783 163 849 115 590 225 610 003 652 351 370 343 874 > 461 > >> 848 378 737 238 198 224 849 863 465 033 159 410 054 974 700 593 138 339 > 226 > >> 497 249 461 751 545 728 366 702 369 745 461 014 655 997 933 798 537 483 > 143 > >> 786 841 806 593 422 227 898 388 722 980 000 748 404 719".replace(" ", > "") > >> > >> In [16]: k = S(s) > >> > >> In [17]: plot_ > >> plot_backends plot_implicit > >> > >> In [17]: plot_implicit(S(1/2) < rhs, (x, 0, 106), (y, k, k+17)) > >> /home/ptb/gitrepos/sympy/sympy/plotting/plot_implicit.py:84: > UserWarning: > >> Adaptive meshing could not be applied to the expression. Using uniform > >> meshing. > >> warnings.warn("Adaptive meshing could not be applied to the" > >> > >> I then got a lot of errors that started with: > >> > >> > >> > --------------------------------------------------------------------------- > >> ValueError Traceback (most recent call > >> last) > >> /home/ptb/gitrepos/sympy/sympy/plotting/experimental_lambdify.py in > >> __call__(self, *args) > >> 118 temp_args = (np.array(a, dtype=np.complex) for a in > >> args) > >> --> 119 results = self.vector_func(*temp_args) > >> 120 results = np.ma.masked_where( > >> > >> <string> in <lambda>(x0, x1) > >> > >> and ended with > >> > >> /home/ptb/gitrepos/sympy/sympy/sets/sets.py in __new__(cls, *args, > >> **kwargs) > >> 1684 evaluate = kwargs.get('evaluate', global_evaluate[0]) > >> 1685 if evaluate: > >> -> 1686 args = list(map(sympify, args)) > >> 1687 > >> 1688 if len(args) == 0: > >> > >> RuntimeError: maximum recursion depth exceeded > >> > >> > >> On Tuesday, May 12, 2015 at 11:22:14 AM UTC-6, Ondřej Čertík wrote: > >>> > >>> On Tue, May 12, 2015 at 10:00 AM, Sumith 1896 <sumit...@gmail.com> > wrote: > >>> > Hi there, > >>> > I just happened to come across this very interesting formula known > as > >>> > Tupper’s self-referential formula. > >>> > The wiki article says that is a formula defined by Jeff Tupper that, > >>> > when graphed in two dimensions at a very specific location in the > >>> > plane, can > >>> > be “programmed” to visually reproduce the formula itself. > >>> > Matlab is capable to plot this. It was very interesting to see the > >>> > plot. > >>> > Is our plotting module capable to plot this? > >>> > If yes, could you say how? > >>> > >>> > >>> Good question, we should be able to do it. I found more info about > this: > >>> > >>> > >>> > http://www.quora.com/How-did-Jeff-Tupper-come-up-with-his-%E2%80%9Cself-referential%E2%80%9D-formula > > >>> > >>> With some other examples. > >>> > >>> Ondrej > >> > >> -- > >> You received this message because you are subscribed to the Google > Groups > >> "sympy" group. > >> To unsubscribe from this group and stop receiving emails from it, send > an > >> email to sympy+un...@googlegroups.com <javascript:>. > >> To post to this group, send email to sy...@googlegroups.com > <javascript:>. > >> Visit this group at http://groups.google.com/group/sympy. > >> To view this discussion on the web visit > >> > https://groups.google.com/d/msgid/sympy/e6b490d0-5d76-4f83-ac41-3c05cccb3a2a%40googlegroups.com. > > > >> For more options, visit https://groups.google.com/d/optout. > > > > -- > > You received this message because you are subscribed to the Google > Groups > > "sympy" group. > > To unsubscribe from this group and stop receiving emails from it, send > an > > email to sympy+un...@googlegroups.com <javascript:>. > > To post to this group, send email to sy...@googlegroups.com > <javascript:>. > > Visit this group at http://groups.google.com/group/sympy. > > To view this discussion on the web visit > > > https://groups.google.com/d/msgid/sympy/CAFeyqwM_GfnfbOLLjX1E2rYCuEqUmKLHo3R1a2eHTFKL%2BOzRSQ%40mail.gmail.com. > > > > > > For more options, visit https://groups.google.com/d/optout. > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/5c8031ef-887c-402d-b8db-01a30de68812%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
